diff --git a/test/units/testsuite-02.sh b/test/units/testsuite-02.sh
index 4c4479287f..97700e4439 100755
--- a/test/units/testsuite-02.sh
+++ b/test/units/testsuite-02.sh
@@ -34,7 +34,7 @@ fi
 # Arguments:
 #   $1: test path
 #   $2: test exit code
-function report_result() {
+report_result() {
     if [[ $# -ne 2 ]]; then
         echo >&2 "check_result: missing arguments"
         exit 1
diff --git a/test/units/testsuite-16.sh b/test/units/testsuite-16.sh
index 9b8a7bd6fa..ed01822319 100755
--- a/test/units/testsuite-16.sh
+++ b/test/units/testsuite-16.sh
@@ -7,7 +7,7 @@ rm -f /test.log
 
 TESTLOG=/test.log.XXXXXXXX
 
-function wait_for()
+wait_for()
 {
     local service="${1:-wait_for: missing service argument}"
     local result="${2:-success}"
@@ -23,7 +23,7 @@ function wait_for()
     fi
 }
 
-function wait_for_timeout()
+wait_for_timeout()
 {
     local unit="$1"
     local time="$2"